J. V. Boussinesq, Théorie de l'intumescence liquide appelée onde solitaire ou de translation se propageant dans un canal rectangulaire, C.R. Acad. Sci. Paris Sér. A-B, vol.72, pp.755-759, 1871.

L. J. Broer, On the hamiltonian theory of surface waves, Applied Scientific Research, vol.4, issue.1, pp.430-446, 1974.
DOI : 10.1007/BF00384164

D. Clamond, Variational principles for water waves beyond perturbations, 2014.

D. Clamond and D. Dutykh, Practical use of variational principles for modeling water waves, Physica D: Nonlinear Phenomena, vol.241, issue.1, pp.25-36, 2012.
DOI : 10.1016/j.physd.2011.09.015

URL : https://hal.archives-ouvertes.fr/hal-00456891

A. D. Craik, THE ORIGINS OF WATER WAVE THEORY, Annual Review of Fluid Mechanics, vol.36, issue.1, pp.1-28, 2004.
DOI : 10.1146/annurev.fluid.36.050802.122118

D. Dutykh, M. Chhay, and D. Clamond, Numerical study of the generalised Klein???Gordon equations, Physica D: Nonlinear Phenomena, vol.304, issue.305, 2013.
DOI : 10.1016/j.physd.2015.04.001

URL : https://hal.archives-ouvertes.fr/hal-00851030

D. Dutykh and D. Clamond, Shallow water equations for large bathymetry variations, Journal of Physics A: Mathematical and Theoretical, vol.44, issue.33, p.1, 2011.
DOI : 10.1088/1751-8113/44/33/332001

URL : https://hal.archives-ouvertes.fr/hal-00580310

D. Dutykh, D. Clamond, P. Milewski, and D. Mitsotakis, Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations, European Journal of Applied Mathematics, vol.9, issue.05, pp.761-787, 2013.
DOI : 10.1017/S0022112065000745

URL : https://hal.archives-ouvertes.fr/hal-00587994

K. B. Dysthe, Note on a modification to the nonlinear Schrödinger equation for application to deep water, Proc. R. Soc. Lond. A 369, pp.105-114, 1979.

A. E. Green, N. Laws, and P. M. Naghdi, On the Theory of Water Waves, Proc. R. Soc. Lond. A 338, pp.43-55, 1974.
DOI : 10.1098/rspa.1974.0072

A. E. Green and P. M. Naghdi, A derivation of equations for wave propagation in water of variable depth, Journal of Fluid Mechanics, vol.338, issue.02, pp.237-246, 1976.
DOI : 10.1017/S0022112076002425

J. Grue, D. Clamond, M. Huseby, and A. Jensen, Kinematics of extreme waves in deep water, Applied Ocean Research, vol.25, issue.6, pp.355-366, 2003.
DOI : 10.1016/j.apor.2004.03.001

A. Jensen, D. Clamond, M. Huseby, and J. Grue, On local and convective accelerations in steep wave events, Ocean Engineering, vol.34, issue.3-4, pp.426-435, 2007.
DOI : 10.1016/j.oceaneng.2006.03.013

R. S. Johnson, A Modern Introduction to the Mathematical Theory of Water Waves, 2004.
DOI : 10.1017/CBO9780511624056

C. Lanczos, The Variational Principles of Mechanics, 1970.

R. B. Laughlin, Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations, Physical Review Letters, vol.50, issue.18, pp.1395-1398, 1983.
DOI : 10.1103/PhysRevLett.50.1395

Y. A. Li, Hamiltonian Structure and Linear Stability of Solitary Waves of the Green-Naghdi Equations, Journal of Nonlinear Mathematical Physics, vol.284, issue.sup1, pp.99-105, 2002.
DOI : 10.2991/jnmp.2002.9.s1.9

J. C. Luke, A variational principle for a fluid with a free surface, Journal of Fluid Mechanics, vol.125, issue.02, pp.375-397, 1967.
DOI : 10.1007/BF01449125

C. C. Mei, The applied dynamics of water waves, World Scientific, 1989.

H. Murayama, Berkley's 221A Lecture Notes: Variational Method, 2006.

A. A. Petrov, Variational statement of the problem of liquid motion in a container of finite dimensions, Journal of Applied Mathematics and Mechanics, vol.28, issue.4, pp.917-922, 1964.
DOI : 10.1016/0021-8928(64)90077-2

A. C. Radder, HAMILTONIAN DYNAMICS OF WATER WAVES, Adv. Coast. Ocean Engng, vol.4, pp.21-59, 1999.
DOI : 10.1142/9789812797551_0002

J. Rajchenbach, D. Clamond, and A. Leroux, Observation of Star-Shaped Surface Gravity Waves, Physical Review Letters, vol.110, issue.9, p.94502, 2013.
DOI : 10.1103/PhysRevLett.110.094502

URL : https://hal.archives-ouvertes.fr/hal-01353909

J. Rajchenbach, A. Leroux, and D. Clamond, New Standing Solitary Waves in Water, Physical Review Letters, vol.107, issue.2, p.24502, 2011.
DOI : 10.1103/PhysRevLett.107.024502

URL : https://hal.archives-ouvertes.fr/hal-00859145

R. Salmon, Hamiltonian Fluid Mechanics, Annual Review of Fluid Mechanics, vol.20, issue.1, pp.225-256, 1988.
DOI : 10.1146/annurev.fl.20.010188.001301

F. Serre, Contribution à l'étude des écoulements permanents et variables dans les canaux, pp.374-388, 1953.

F. Serre, Contribution à l'étude des écoulements permanents et variables dans les canaux, pp.830-872, 1953.

J. J. Stoker, Water Waves: The mathematical theory with applications. Interscience, 1957.

J. J. Stoker, Water waves, the mathematical theory with applications, 1958.

C. H. Su and C. S. Gardner, Korteweg???de Vries Equation and Generalizations. III. Derivation of the Korteweg???de Vries Equation and Burgers Equation, Journal of Mathematical Physics, vol.10, issue.3, pp.536-539, 1969.
DOI : 10.1063/1.1664873

C. H. Su and R. M. Mirie, On head-on collisions between two solitary waves, Journal of Fluid Mechanics, vol.46, issue.03, pp.509-525, 1980.
DOI : 10.1103/PhysRevLett.19.1095

G. B. Whitham, Linear and nonlinear waves, 1999.

T. Y. Wu, A unified theory for modeling water waves, Adv. App. Mech, vol.37, pp.1-88, 2001.
DOI : 10.1016/S0065-2156(00)80004-6

V. E. Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, Journal of Applied Mechanics and Technical Physics, vol.10, issue.no. 4, pp.190-194, 1968.
DOI : 10.1007/BF00913182

V. E. Zakharov and E. A. Kuznetsov, Hamiltonian formalism for nonlinear waves, Uspekhi Fizicheskih Nauk, vol.167, issue.11, pp.1137-1168, 1997.
DOI : 10.3367/UFNr.0167.199711a.1137